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Generalized Bessel beams with two indices

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Abstract

We report on a new class of exact solutions of the scalar Helmholtz equation obtained by carefully engineering the form of the angular spectrum of a Bessel beam. We consider in particular the case in which the angular spectrum of such generalized beams has, in the paraxial zone, the same radial structure as Laguerre–Gaussian beams. We investigate the form of these new beams as well as their peculiar propagation properties.

© 2014 Optical Society of America

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